# Asymptotic Analysis Task

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An Asymptotic Analysis Task is an analysis task that ...

**See:**Big O Notation, Mathematical Analysis, Limit (Mathematics), Analysis of Algorithms, Physical System, Statistical Mechanics.

## References

### 2015

- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/asymptotic_analysis Retrieved:2015-7-8.
- In mathematical analysis,
**asymptotic analysis**is a method of describing limiting behavior. The methodology has applications across science. Examples are- In applied mathematics, asymptotic analysis is used to build numerical methods to approximate equation solutions.
- in computer science in the analysis of algorithms, considering the performance of algorithms when applied to very large input datasets.
- the behavior of physical systems when they are very large, an example being Statistical mechanics.
- in accident analysis when identifying the causation of crash through count modeling with large number of crash counts in a given time and space.

- The simplest example, when considering a function
*f*(*n*), is when there is a need to describe its properties as becomes very large. Thus, if*f*(*n*)*n*^{2}+3n*, the term 3becomes insignificant compared to*f^{2}, when is very large. The function*(*n*) is said to be "asymptotically equivalent to*n^{2}as → ∞", and this is written symbolically as*f*(*n*) ~*n*^{2}.

- In mathematical analysis,